46638883664 has 20 divisors (see below), whose sum is σ = 91506672960. Its totient is φ = 23024258400.

The previous prime is 46638883607. The next prime is 46638883693.

It is a happy number.

46638883664 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 46638883597 and 46638883606.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18447662 + ... + 18450189.

It is an arithmetic number, because the mean of its divisors is an integer number (4575333648).

Almost surely, 2^46638883664 is an apocalyptic number.

It is an amenable number.

46638883664 is a deficient number, since it is larger than the sum of its proper divisors (44867789296).

46638883664 is a wasteful number, since it uses less digits than its factorization.

46638883664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36897938 (or 36897932 counting only the distinct ones).

The product of its digits is 95551488, while the sum is 62.

The spelling of 46638883664 in words is "forty-six billion, six hundred thirty-eight million, eight hundred eighty-three thousand, six hundred sixty-four".